Action type geometrical equivalence of representations of groups

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2005
• ISSN: 1726-3255
• Hauptverfasser: Plotkin, B., Tsurkov, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2005
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157336
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Action type geometrical equivalence of representations of groups / B. Plotkin, A. Tsurkov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 48–79. — Бібліогр.: 17 назв. — англ.

In the paper we prove (Theorem 8.1) that there
 exists a continuum of non isomorphic simple modules over KF₂,
 where F₂ is a free group with 2 generators (compare with [Ca]
 where a continuum of non isomorphic simple 2-generated groups is
 constructed). Using this fac...